Jackson problem 5.4: Magnetic induction in a current-free region

[BREAD]

Homework Statement

Homework Equations

The Attempt at a Solution

I think that is taylor series expansion, How that can be expanded right that? even b0, b1 ... is not a differential term.

The solution just use b(z) = Bz(0,z)

 

[Twigg]

Homework Statement

View attachment 203375

Homework Equations

The Attempt at a Solution

I think that is taylor series expansion, How that can be expanded right that? even b0, b1 ... is not a differential term.

View attachment 203376
The solution just use b(z) = Bz(0,z)

Hint: Try taking the divergence and see what you can do with the $b_{n}$ terms algebraically.